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Lovell Computer Parts Inc. is in the process of setting a selling price on a new...

Lovell Computer Parts Inc. is in the process of setting a selling price on a new component it has just designed and developed. The following cost estimates for this new component have been provided by the accounting department for a budgeted volume of 50,000 units.
Per Unit Total
Direct materials $55
Direct labor $28
Variable manufacturing overhead $20
Fixed manufacturing overhead $650,000
Variable selling and administrative expenses $13
Fixed selling and administrative expenses $300,000

Lovell Computer Parts management requests that the total cost per unit be used in cost-plus pricing its products. On this particular product, management also directs that the target price be set to provide a 25% return on investment (ROI) on invested assets of $1,000,000.
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Compute the markup percentage and target selling price that will allow Lovell Computer Parts to earn its desired ROI of 25% on this new component. (Round markup percentage to 2 decimal places, e.g. 10.50%.)
Markup percentage %
Target selling price $

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Assuming that the volume is 40,000 units, compute the markup percentage and target selling price that will allow Lovell Computer Parts to earn its desired ROI of 25% on this new component. (Round answers to 2 decimal places, e.g. 10.50% or 10.50.)
Markup percentage %
Target selling price $

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Answer- Mark-up percentage = 3.70%.

Selling price per unit (50000 units) = $140 per unit.

When the volume is 50000 units, mark-up of 3.70% and the target selling price of $140 per unit would allow Lovell Computer Parts to earn desired ROI of 25% on the new equipment.

Variable cost per unit = Direct materials+ Direct labor+ Variable manufacturing overhead+ Variable selling and administrative expenses

= $55+$28+$20+$13

= $116 per unit

Fixed cost per unit = (Fixed manufacturing overhead+ Fixed selling and administrative expenses)/Budgeted units

= ($650000+$300000)/50000 units

= $19 per unit

Desired ROI per unit = ($1000000*25%)/50000 units

= $5 per unit

Selling price per unit (50000 units)= Variable cost per unit+ Fixed cost per unit+ Desired ROI per unit

= $116 per unit+$19 per unit+$5 per unit

= $140 per unit

Mark-up percentage = (Desired ROI per unit/Total units cost)*100

= ($5 per unit/$135 per unit)*100

= 3.70%

Answer- Mark-up percentage = 4.47%.

Selling price per unit (40000 units) = $146 per unit.

When the volume is 40000 units, mark-up of 4.47% and the target selling price of $146 per unit would allow Lovell Computer Parts to earn desired ROI of 25% on the new equipment.

Variable cost per unit = Direct materials+ Direct labor+ Variable manufacturing overhead+ Variable selling and administrative expenses

= $55+$28+$20+$13

= $116 per unit

Fixed cost per unit = (Fixed manufacturing overhead+ Fixed selling and administrative expenses)/Budgeted units

= ($650000+$300000)/40000 units

= $23.75 per unit

Desired ROI per unit = ($1000000*25%)/40000 units

= $6.25 per unit

Selling price per unit (40000 units)= Variable cost per unit+ Fixed cost per unit+ Desired ROI per unit

= $116 per unit+$23.75 per unit+$6.25 per unit

= $146 per unit

Mark-up percentage = (Desired ROI per unit/Total units cost)*100

= ($6.25 per unit/$139.75 per unit)*100

= 4.47%


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